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Finding the Fourth Proportional to 305,354.20, 457,812.60 and 127,769.80

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Solution

The fourth proportional to 305,354.20, 457,812.60 and 127,769.80 is: 191,563.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,354.20 : 457,812.60 = 127,769.80 : x
  2. Step 2: Convert to fraction form
    305,354.20/457,812.60 = 127,769.80/x
  3. Step 3: Cross multiply
    305,354.20x = 457,812.60 × 127,769.80
  4. Step 4: Simplify right side
    305,354.20x = 58,494,624,339.48
  5. Step 5: Solve for x
    x = 58,494,624,339.48/305,354.20
  6. Step 6: Final answer
    x = 191,563.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.